cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A371991 Number of different closest packings of equal spheres for hexagonal crystals having repeat period n.

This page as a plain text file.
%I A371991 #21 Jun 19 2025 00:09:58
%S A371991 1,1,0,1,1,2,3,6,6,16,21,42,63,129,201,404,685,1340,2385,4625,8487,
%T A371991 16409,30735,59282,112530,217182,415605,803076,1545463,2990945,
%U A371991 5778267,11201472,21702645,42140890,81830744,159139428,309590883,602935713,1174779207,2290915478,4469734225,8726815041,17047041429,33319598126
%N A371991 Number of different closest packings of equal spheres for hexagonal crystals having repeat period n.
%H A371991 J. E. Iglesias, <a href="https://doi.org/10.1524/zkri.1981.155.1-2.121">A formula for the number of closest packings of equal spheres having a given repeat period</a>, Z. Krist. 155 (1981) 121-127, Table 1.
%F A371991 a(n) + A371992(n) = A000046(n).
%F A371991 a(n+1)/a(n) = 2 - 2/n + O(1/n^2). - _M. F. Hasler_, Jun 09 2025
%o A371991 (PARI) apply( {A371991(n)=A000046(n)-A371992(n)}, [1..40]) \\ _M. F. Hasler_, Jun 09 2025
%Y A371991 Cf. A000046, A371992.
%K A371991 nonn
%O A371991 1,6
%A A371991 _R. J. Mathar_, Apr 15 2024
%E A371991 Offset changed to 1 and a(1) = 1 prefixed by _M. F. Hasler_, Jun 09 2025